849664201 has 9 divisors (see below), whose sum is σ = 861035949. Its totient is φ = 838441836.

The previous prime is 849664177. The next prime is 849664223. The reversal of 849664201 is 102466948.

The square root of 849664201 is 29149.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-849664201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (849664241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3002206 + ... + 3002488.

It is an arithmetic number, because the mean of its divisors is an integer number (95670661).

Almost surely, 2^849664201 is an apocalyptic number.

849664201 is the 29149-th square number.

849664201 is the 14575-th centered octagonal number.

It is an amenable number.

849664201 is a deficient number, since it is larger than the sum of its proper divisors (11371748).

849664201 is an frugal number, since it uses more digits than its factorization.

849664201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The cubic root of 849664201 is about 947.1434789019.

Multiplying 849664201 by its product of nonzero digits (82944), we get a square (70474547487744 = 8394912²).

The spelling of 849664201 in words is "eight hundred forty-nine million, six hundred sixty-four thousand, two hundred one".